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Finding the Fourth Proportional to 295,571.20, 443,356.80 and 206,924.80

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Solution

The fourth proportional to 295,571.20, 443,356.80 and 206,924.80 is: 310,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,571.20 : 443,356.80 = 206,924.80 : x
  2. Step 2: Convert to fraction form
    295,571.20/443,356.80 = 206,924.80/x
  3. Step 3: Cross multiply
    295,571.20x = 443,356.80 × 206,924.80
  4. Step 4: Simplify right side
    295,571.20x = 91,741,517,168.64
  5. Step 5: Solve for x
    x = 91,741,517,168.64/295,571.20
  6. Step 6: Final answer
    x = 310,387.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.